Global and local methods for tracking the intersection curve between two surfaces |
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Authors: | A. Borkowski W. Keller |
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Affiliation: | (1) Department of Geodesy and Photogrammetry, Agricultural University of Wroclaw, Grunwaldzka 53, PL-50-357 Wroclaw, Poland;(2) Geodätisches Institut, Universität Stuttgart, Geschwister-Scholl-Strasse 24/D, D-70174 Stuttgart, Germany |
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Abstract: | At present, the modelling of terrain edges from discrete data clouds {x,y,z} is one of the ‘hot topics’ in the processing of laser scanning data. This paper proposes two different methods for the three-dimensional modelling of terrain edges. Common to both methods is the idea to describe the terrain edge as the intersection line of two surface patches zi=z(x,y), i=1,2. The first method is based on numerical integration of a differential equation describing the intersection line. The second method uses the snakes algorithm for the identification of the terrain edge. Both methods are tested for synthetic and real-world data examples, which shows that they are suitable for the practical extraction of edges from laser scanning data. |
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Keywords: | Surface discontinuities Intersection curve Numerical integration Snakes |
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